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Results tagged with weil-petersson-metric
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The Weil-Petersson metric is a Kahler metric on the moduli space of Calabi-Yau varieties, the moduli space of general type varieties, the moduli space of K-stable Fano varieties, and more generally, we can define it on the moduli space of stable varieties.
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Is Teichmüller distance bigger than Weil-Petersson distance on Teichmüller space?
It is known that Teichmüller distance ($d_{Teich}$) on Teichmüller space is complete, whereas Weil-Petersson distance ($d_{WP}$) is not complete.
See for example the article
Wolpert, Scott. Noncom …
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